Write down the number of significant figure in the following.
12.000

In successive measurements, the reading of the period of oscillation of a simple pendulum were found to be 2.63 s,2.56 s,2.42 s,2.71 s and 2.80 s in an experiment.Calculate express the result in proper form.

Check whether the given equation is dimensionally correct  \(\frac { 1 }{ 2 } mv^{ 2 }=mgh\)

The two thigh bones (femurs), each of cross-sectional area10 cm² support the upper part of a human body of mass 40 kg. Estimate the average pressure sustained by the femurs.

Aman went for a weekend trip with his parents and grandparents to a remote village. His grandfather showed him the fields and the crops they grow. As they moved forward, they saw that a bullock cart got struck in wet mud and the driver was not able to push it out by himself. Seeing him in distress, Aman ran to his help and together they pushed it out, but iron rim of the wheel came out.
They tried to put it on the wheel but it was smaller than diameter of wheel. Suddenly, he got an idea. He collected some wood and set them on fire and heated the rim and then rim easily slipped on the wheel. Cartman thanked Aman and moved away.
(i) What values of Aman does the incident show?
(ii) If the diameter of the rim and ring were 5.243 m and 5.231 m respectively at 27 \(^{0}\)C. To what temperature had Aman heated the ring so as to fit the rim of the wheel? Coefficient of linear expansion of iron = 1.20 x 10^-5 K^-1
(iii) Which property of solids is used in this phenomenon?

If the mass of each molecule of a gas is halved and speed is doubled. Find the ratio of initial and final pressure.

Two linear simple harmonic motions of equal amplitudes and frequencies ω and 2ω are impressed on a particle along the axes of X and Y respective/yo If the initial phase difference between them is π/2 find the resultant path followed by the particle.

If a progressive wave travelling in positive x- direction having the amplitude of 6 cm, frequency 200 Hz and velocity is 400m/s, then write the equation of that progressive wave.